Research on hesitant fuzzy matroid based on satisfaction function

Article type: Research Article

Authors: Xiao, Huimin | Wang, Meiqi^{; *}

Affiliations: School of Computing and Information Engineering, Henan University of Economics and Law, Zhengzhou, Henan, China

Correspondence: [*] Corresponding author. Meiqi Wang, School of Computing and Information Engineering, Henan University of Economics and Law, Zhengzhou, Henan, China. E-mail: 1029632966@qq.com.

Abstract: In this paper, we mainly extended the study of fuzzy matroid related problems to research the fuzzy decision method. Considering the ambiguity of actual event information and evaluation, we chose hesitant fuzzy set as the extended data set. To construct the hesitant fuzzy matroid, we defined the satisfaction function of hesitant fuzzy set combining hesitant fuzzy index entropy and score function, and defined the mapping function of fuzzy matroid through this function. We also defined the algorithm of hesitant fuzzy matroid and proved the theory of rank, basis of hesitant fuzzy matroid.

Keywords: Fuzzy entropy, fuzzy matroid, hesitant fuzzy matroid, rank

DOI: 10.3233/JIFS-211213

Journal: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 6, pp. 7387-7396, 2021